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Finding the Fourth Proportional to 364.23, 545.67 and 255.96

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Solution

The fourth proportional to 364.23, 545.67 and 255.96 is: 383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.23 : 545.67 = 255.96 : x
  2. Step 2: Convert to fraction form
    364.23/545.67 = 255.96/x
  3. Step 3: Cross multiply
    364.23x = 545.67 × 255.96
  4. Step 4: Simplify right side
    364.23x = 139,669.69
  5. Step 5: Solve for x
    x = 139,669.69/364.23
  6. Step 6: Final answer
    x = 383.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.